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首页> 外文期刊>IEEE sensors journal >Average Error Probability in Wireless Sensor Networks With Imperfect Sensing and Communication for Different Decision Rules
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Average Error Probability in Wireless Sensor Networks With Imperfect Sensing and Communication for Different Decision Rules

机译：具有不同决策规则的感知和通信不完善的无线传感器网络中的平均错误概率

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This paper presents a framework to evaluate the probability that a decision error event occurs in wireless sensor networks, including sensing and communication errors. We consider a scenario where sensors need to identify whether a given event has occurred based on its periodic, noisy, and observations of a given signal. Such information about the signal needs to be sent to a fusion center that decides about the actual state at that specific observation time. The communication links—single-or multi-hop—are modeled as binary symmetric channels, which may have different error probabilities. The decision at the fusion center is based on OR, AND, -OUT-OF-, and MAJORITY Boolean operations on the received signals associated to individual sensor observations. We derive closed-form equations for the average decision error probability as a function of the system parameters (e.g., number of sensors and hops) and the input signal characterization. Our analyses show the best decision rule is closely related to the frequency that the observed events occur and the number of sensors. In our numerical example, we show that the AND rule outperforms MAJORITY if such an event is rare and there is only a handful number of sensors. Conversely, if there are a large number of sensors or more evenly distributed event occurrences, the MAJORITY is the best choice. We further show that, while the error probability using the MAJORITY rule asymptotically goes to 0 with increasing number of sensors, it is also more susceptible to higher channel error probabilities.
机译：本文提出了一种框架，用于评估在无线传感器网络中发生决策错误事件（包括传感和通信错误）的可能性。我们考虑一种场景，传感器需要根据事件的周期性，噪声和对给定信号的观察来确定是否发生了给定事件。需要将有关信号的此类信息发送到融合中心，该中心决定在该特定观察时间的实际状态。通信链路（单跳或多跳）被建模为二进制对称通道，可能具有不同的错误概率。融合中心的决策基于对与各个传感器观测值相关的接收信号的OR，AND，-OUT-OF-和MAJORITY布尔运算。我们根据系统参数（例如传感器和跳数）和输入信号特征得出平均决策错误概率的闭式方程式。我们的分析表明，最佳决策规则与观察到的事件发生的频率和传感器的数量密切相关。在我们的数值示例中，我们表明，如果此类事件很少发生，并且传感器数量很少，则AND规则会胜过MAJORITY。相反，如果存在大量传感器或事件分布更均匀，则MAJORITY是最佳选择。我们进一步证明，尽管随着传感器数量的增加，使用MAJORITY规则渐近地将错误概率变为0，但它也更容易受到较高通道错误概率的影响。

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